en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1+y)-ln(y)

Solution

simplify

ln (1 + y) - ln (y)

Solution

ln (\frac{1 + y}{y})

Solution steps

ln (1 + y) - ln (y)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (1 + y) - ln (y) = ln (\frac{y + 1}{y})

= ln (\frac{1 + y}{y})

Popular Examples

simplify ln(7)-ln(3)simplify

ln (7) - ln (3)

simplify-ln(x)+ln(y)simplify

- ln (x) + ln (y)

simplify 10ln(3x)-(ln(3x))^2 simplify

10 ln (3 x) - (ln (3 x))^{2}

simplify log_{10}(2x+2)+log_{10}(x)-log_{10}(12)simplify

lo g_{10} (2 x + 2) + lo g_{10} (x) - lo g_{10} (12)

simplify ln((e^4)/5)simplify

ln (\frac{e ^{4}}{5})

Frequently Asked Questions (FAQ)

What is ln(1+y)-ln(y) ?
The solution to ln(1+y)-ln(y) is ln((1+y)/y)